Coapproximation Wavelet Using Hermite Wavelets and Haar Wavelets

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发表日期：

2025年2月3日

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H. Mazaheri,
M. Kalantari,
S. M. Jesmani

摘要

In this paper, we consider wavelet coapproximation in Hermite wavelets and Haar wavelets. At first, we define wavelet coapproximation of a function with concerning a set. We show that if the series $\sum _{n=0}^{\infty }\sum _{m=0}^{\infty }|t_{n,m}|^2$ $\sum_{n = 0}^{\infty} \sum_{m = 0}^{\infty} {| t_{n, m} |}^{2}$ is convergent, then there exists a wavelet coapproximation for a set.